Triple

T13051376
Position Surface form Disambiguated ID Type / Status
Subject Raychaudhuri equation E327454 entity
Predicate holdsIn P17841 FINISHED
Object Lorentzian manifolds E64599 NE FINISHED

How this triple was built (2 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Lorentzian manifolds | Statement: [Raychaudhuri equation, holdsIn, Lorentzian manifolds]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Lorentzian manifolds
Context triple: [Raychaudhuri equation, holdsIn, Lorentzian manifolds]
  • A. Lorentzian geometry chosen
    Lorentzian geometry is the branch of differential geometry that studies manifolds equipped with metrics of Lorentzian signature, providing the mathematical framework for general relativity and spacetime physics.
  • B. Riemannian manifolds
    Riemannian manifolds are smooth manifolds equipped with an inner product on each tangent space that allows one to measure lengths, angles, and curvature in a curved geometric setting.
  • C. spacetime manifold
    A spacetime manifold is a four-dimensional, smooth geometric framework in general relativity that models the combined fabric of space and time on which gravitational phenomena are described.
  • D. Timelike Infinity
    Timelike Infinity is a hard science fiction novel by Stephen Baxter that explores time travel, cosmic engineering, and far-future human evolution within his Xeelee Sequence universe.
  • E. Minkowski space-time
    Minkowski space-time is a four-dimensional geometric framework that unifies three-dimensional space and time into a single continuum used to describe events and motion in special relativity.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69d8076e64308190904fb5c93517c901 completed April 9, 2026, 8:09 p.m.
NER Named-entity recognition batch_69d980b98fa081908cfa92116799e874 completed April 10, 2026, 10:59 p.m.
NED1 Entity disambiguation (via context triple) batch_69f6cbda9b548190a10a4835b2c75fdc completed May 3, 2026, 4:15 a.m.
Created at: April 9, 2026, 8:57 p.m.